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Tomtit [17]
3 years ago
9

David has some marbles.He gave 2/5 of his marble to his neighbour and 1/6 of the remainder to his friend Ali.He had 25 marbles l

eft.How many marbles did he have at first?
Mathematics
1 answer:
babunello [35]3 years ago
7 0

Answer: he had 50 marbles at first.

Step-by-step explanation:

Let x represent the number of marbles that he had at first.

He gave 2/5 of his marble to his neighbour. It means that the number of marbles that he gave to his neighbour is 2/5 × x = 2x/5

The number of marbles that he has remaining is

x - 2x/5 = 3x/5

He gave 1/6 of the remainder to his friend Ali. It means that the number of marbles that he gave to his friend is

1/6 × 3x/5 = x/10

The number of marbles that he has left is

3x/5 - x/10 = 5x/10

He had 25 marbles left. It means that

5x/10 = 25

5x = 25 × 10 = 250

x = 250/5 = 50

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Calculate: 3400*6 1/2 *1/100​
marishachu [46]

questions clear likhh

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7 0
3 years ago
A parabola has zeros at (5,0) and (-3,0) and passes through point (6,18) determine the axis of symmetry
worty [1.4K]

Answer:

The axis of symmetry is x=1

Step-by-step explanation:

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

In this problem we have a vertical parabola open upward

The x-coordinate of the vertex is equal to the midpoint between the zeros of the parabola

so

x=\frac{5-3}{2}=1

therefore

The axis of symmetry is x=1

5 0
3 years ago
Find all angles and pls show steps ​
Ghella [55]

Answer:

Both angles have a measure of 134degrees, y = 27degrees.

Step-by-step explanation:

As per what is given in the problem:

There are 2 parallel lines, both are intersected by a transversal.

Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.

The is meanse that:

3y + 53 = 7y - 55

Solve using inverse operations:

3y + 53 = 7y - 55

     +55         +55

3y + 108 = 7y

-3y            -3y

108 = 4y

/4      /4

27 = y

Now, substitute back in to find the value of the angle:

3y + 53

y = 27

3 ( 27 ) + 53

81 + 53

= 134

Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.

7 0
3 years ago
A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train t
polet [3.4K]

Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

---------------------

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

---------------------

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

--------------------

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

------------------

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

---------------------------

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

8 0
2 years ago
-28-(-16)= What is the answer
Finger [1]

Answer:

-12

Step-by-step explanation:

<u>Step 1:  Find the answer </u>

Subtracting a negative number is same as adding a positive number

-28 - (-16)

-28 + 16

-12

Answer:  -12

3 0
3 years ago
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